War of the Quadruple Alliance
The War of the Quadruple Alliance was a postcursor of the War of Spanish Succession.
The war was ended through the Treaty of the Hague.
Antecedents
See the War of Spanish Succession.
By 1717, Philip V was positioning himself to renege on the treaty. The infant Louis XV had succeeded the kingdom of France and had no heir. Charles VI was preoccupied with the Ottomans.
History
Philip invaded and quickly captured Sardinia (an Austrian territory), then Sicily (a Savoyard territory), then a significant portion of the Italian peninsula.
This expansionism greatly concerned Philippe II, Duke of Orleans. His regency for the infant Louis XV was uncontroversial but tenuous; Philip was his cousin and the king's uncle.
Within a year, Austria made peace with the Ottomans and formed the Quadruple Alliance with the French, English, and Dutch.
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Conclusion and Aftermath
Philip sued for peace in 1719. The Treaty of the Hague was signed in early 1720; he finally abandoned his claims to France and Italy.
Austria took the kingdom of Sicily, while Savoy was consolidated with the kingdom of Sardinia under Victor Amadeus II.
The Anglo-Spanish War was another postcursor conflict, though much more limited in scope.